Respuesta :

b ≈ 9.1 ( to 1 dec. place )

Since triangle ABC is right use the tangent trig. ratio to find b

tan33° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{b}{14}[/tex]

multiply both sides by 14

b = 14 × tan33° ≈ 9.1 ( to 1 dec. place )


alinakincsem

Answer:

The correct answer option is b. b = 9.09.

Step-by-step explanation:

We are given a right angles triangle with an angle ABC equal to 33 degrees and side length BC known to be equal to 14.

We are supposed to find the length of side b.

Side AC, opposite to angle ABC, will be the perpendicular and BC will be the base so we will use the formula of tan to find b.

[tex]tan 33 = \frac{b}{14}[/tex]

[tex]b = tan33 * 14[/tex]

[tex]b=9.09[/tex]